The generator matrix

 1  0  0  1  1  1  1  1  0  1  1 2X  1  0  0  1  1  1  1
 0  1  0  1  0  2  1  2  1  0 2X+1  1 2X+2  1  1 2X+1  2 X+1  0
 0  0  1  2  1  2  1  0  2  2 2X 2X+1 2X+1  0  2 2X+2  2 X+2  0
 0  0  0 2X  0  0  0  0  0 2X 2X 2X  X  0 2X  X  0 2X  0
 0  0  0  0 2X  0  0  0  X  X 2X 2X 2X  X  0  0  X  X  0
 0  0  0  0  0  X  0  X  X 2X 2X  0  0  0  X  X  X 2X  0
 0  0  0  0  0  0  X 2X  X  X  X  0 2X 2X  0  X  0  0  0

generates a code of length 19 over Z3[X]/(X^2) who´s minimum homogenous weight is 24.

Homogenous weight enumerator: w(x)=1x^0+50x^24+30x^25+60x^26+140x^27+360x^28+576x^29+246x^30+1422x^31+2376x^32+694x^33+4476x^34+5568x^35+1634x^36+7578x^37+8064x^38+2112x^39+7920x^40+6912x^41+1246x^42+4026x^43+2688x^44+242x^45+432x^46+126x^48+62x^51+8x^54

The gray image is a linear code over GF(3) with n=57, k=10 and d=24.
This code was found by Heurico 1.16 in 5.73 seconds.